Answer:
If we convert the percentages into numbers of students, including the margin of error:
Group 1: 40-49 (earlier) (31%-39%)
Group 2: 21-30 (same) (16%-24%)
Group 3: 45-55 (later) (35%-43%)
Group 4: 3-12 (no opinion) (2%-10%)
Interval estimate for group 1 is 40-49 students, and for group 3 is 45-55 students. The earlier group 1 could persuade the no opinion group 4 to join them. This would change the interval to 43-61, compared to 45-55 for group 3. In percentages this comes to 34%-47% approx.
Answer:
b
Step-by-step explanation:
A.
Circumference = π * diameter or
π * 2*radius (diameter = 2 * radius).
So you would divide by π to get the diameter, then divide by 2 to get the radius. So A.
Answer:
MKL = 36°
Step-by-step explanation:
(3x + 6) + (6x + 12) = 54°
3x + 6x + 6 + 12 = 54
9x + 18 = 54
9x = 54 - 18
9x = 36
x = 36/9
x = 4
MKL = 6x + 12
MKL = 6(4) + 12
MKL = 24 + 12
MKL = 36°
We have been given a quadratic function
and we need to restrict the domain such that it becomes a one to one function.
We know that vertex of this quadratic function occurs at (5,2).
Further, we know that range of this function is
.
If we restrict the domain of this function to either
or
, it will become one to one function.
Let us know find its inverse.

Upon interchanging x and y, we get:

Let us now solve this function for y.

Hence, the inverse function would be
if we restrict the domain of original function to
and the inverse function would be
if we restrict the domain to
.